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Equivalent Fractions

Class 6 Maths · Chapter 7: Fractions · NCERT Ganita Prakash section 7.6

Seekho

Ira aur Kabir ko ek jaisa cake milta hai. Ira apna 2 mein kaatkar 1 tukda khaati hai. Kabir apna 4 mein kaatkar 2 tukde khaata hai. Dono ne barabar khaaya! To 1/2 = 2/4. Barabar fractions ko equivalent fractions kehte hain.

Fraction wall dekho. Ek 1/2 int do 1/4 inton, teen 1/6 inton aur chaar 1/8 inton jitni lambi hai. To 1/2 = 2/4 = 3/6 = 4/8.

Niyam: upar aur neeche ko same number se guna (ya bhaag) karo. 2/3 = (2 × 4)/(3 × 4) = 8/12. Har tukde ko 4 chhote tukdon mein kaatne se kul maatra nahi badalti.

2/3 = 8/12

Fraction lowest terms mein tab hai jab upar aur neeche ka 1 ke alawa koi common factor na ho. Wahan pahunchne ke liye dono ko sabse bade common factor se bhaag do: 12/18 → ÷ 6 → 2/3.

12/18 = 6/9 = 2/3

Explore: equivalent fractions banao. Hisson ki ginti badlo aur utna hi rango.

  1. 1/2 rango.
  2. Ab wahi maatra 6 hisson se dikhao.
  3. 2/3 ko 9 hisson se dikhao.
  4. 3/4 ko 8 hisson se dikhao.

Yaad rakho

  • Equivalent fractions same maatra batate hain: 1/2 = 2/4 = 3/6.
  • Upar aur neeche ko same number se guna ya bhaag karo. Same number jodne se nahi chalta.

Quick check

Kaunsa fraction 2/5 ke barabar NAHI hai?

  1. 3/6
  2. 4/10
  3. 6/15
  4. 20/50
Answer

3/6. 4/10, 6/15 aur 20/50, 2 aur 5 ko same number se guna karke bane. 3/6 = 1/2, jo 2/5 nahi.

Socho

Zoya kehti hai 2/3 = 3/4 kyunki usne upar aur neeche dono mein 1 joda. Picture se uska idea jaancho.

Ek answer

Do barabar strips banao: 2/3 = 8/12 aur 3/4 = 9/12. Barabar nahi (3/4 thoda zyada), isliye upar aur neeche same number jodne se fraction badal jaata hai.

Practice

Teen levels (easy, medium, hard) ke naye sawaalon se practice karo, kuch hands-on, hints aur hal ke saath. Topic poora karne ke liye pichhle 5 mein se 4 sahi karo.